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2-to-4 decoder

y0. x1. 2-4 decoder. y1. y2. x0. y3. 2-to-4 decoder. The 2-to-4 decoder is a block which decodes the 2-bit binary inputs and produces four output All but one outputs are zero One output corresponding to the input combination is a one Two inputs and four outputs are shown in the figure

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2-to-4 decoder

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  1. y0 x1 2-4 decoder y1 y2 x0 y3 2-to-4 decoder • The 2-to-4 decoder is a block which decodes the 2-bit binary inputs and produces four output • All but one outputs are zero • One output corresponding to the input combination is a one • Two inputs and four outputs are shown in the figure • The equations are • y0 = x1’. x0’ • y1 = x1’. x0 • y2 = x1 . x0’ • y3 = x1 . x0

  2. E y0 x1 2-4 decoder y1 y2 x0 y3 2-to-4 decoder with enable • A 2-to-4 decoder can be designed with an enable signal • If enable is zero, all outputs are zero • If enable is 1, then an output corresponding to two inputs is a one, all others are still zero • The equations are • y0 = x1’. x0’. E • y1 = x1’. x0 . E • y2 = x1 . x0’. E • y3 = x1 . x0 . E

  3. E y0 x1 2-4 decoder y1 y2 x2 x0 y3 E y4 2-4 decoder y5 y6 y7 3-to-8 decoder using a 2-to-4 decoder • The 3-to-8 decoder is implemented using two 2-to-4 decoders • The implementation is as shown

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